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4.2 Use Linear Equations in Slope-Intercept Form

4.2 Use Linear Equations in Slope-Intercept Form. Essential Question:. How do you find the equation of a line given two points?. You will write an equation of a line using points on the line. EXAMPLE 1. Write an equation given the slope and a point.

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4.2 Use Linear Equations in Slope-Intercept Form

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  1. 4.2 Use Linear Equations in Slope-Intercept Form Essential Question: How do you find the equation of a line given two points? • You will write an equation of a line using points on the line.

  2. EXAMPLE 1 Write an equation given the slope and a point Write an equation of the line that passes through the point (–1, 3) and has a slope of –4.

  3. for Example 1 GUIDED PRACTICE Write an equation of the line that passes through the point (6, 3) and has a slope of 2.

  4. EXAMPLE 2 Write an equation given two points Write an equation of the line that passes through (–2, 5) and (2, –1).

  5. f (x) = 2x + 1 f (x) = 2x + 10 A B f (x) = 2x – 14 f (x) = 2x – 13 C D EXAMPLE 3 Standardized Test Practice EXAMPLE 3 Which function has the valuesf(4) = 9 andf(–4) = –7?

  6. for Examples 2 and 3 GUIDED PRACTICE 2. Write an equation of the line that passes through (1, –2) and (–5, 4).

  7. for Examples 2 and 3 GUIDED PRACTICE 3. Write an equation for the linear function with values f(–2) = 10 andf(4) = –2?

  8. EXAMPLE 4 Solve a multi-step problem GYM MEMBERSHIP Your gym membership costs $33 per month after an initial membership fee. You paid a total of $228 after 6 months. Write an equation that gives the total cost as a function of the length of your gym membership (in months). Find the total cost after 9 months.

  9. EXAMPLE 5 Solve a multi-step problem BMX RACING In Bicycle Moto Cross (BMX) racing, racers purchase a one year membership to a track. They also pay an entry fee for each race at that track. One racer paid a total of $125 after 5 races. A second racer paid a total of $170 after 8 races. How much does the track membership cost? What is the entry fee per race?

  10. for Examples 4 and 5 GUIDED PRACTICE GYM MEMBERSHIP 4. A gym charges $35 per month after an initial membership fee. A member has paid a total of $250 after 6 months. Write an equation that gives the total cost of a gym membership as a function of the length of membership (in months). Find the total cost of membership after 10 months.

  11. for Examples 4 and 5 GUIDED PRACTICE BMX RACING 5. A BMX race track charges a membership fee and an entry fee per race. One racer paid a total of $76 after 3 races. Another racer paid a total of $124 after 7 races. a. How much does the track membership cost? b. What is the entry fee per race? c. Write an equation that gives the total cost as a function of the number of races entered.

  12. (4,–1), m = –1 (2,0), m = 4 1. 2. Daily Homework Quiz Write an equation of the line that passes through the given point with given slope.

  13. (2,3), (4, 7) (–5,7), (2, –7) 3. 4. Daily Homework Quiz Write an equation of the line that passes through the given points.

  14. 5. A camp charges a registration fee and a daily amount. If the total bill for one camper was $338 for 12 days and the total bill for another camper was $506 for 19 days, how much will the bill be for a camper who enrolls for 30 days? Daily Homework Quiz

  15. Essential Question: How do you find the equation of a line given two points? • You will write an equation of a line using points on the line.

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